Implementation of discontinuous skeletal methods on arbitrary-dimensional, polytopal meshes using generic programming

DOI10.1016/j.cam.2017.09.017zbMath1471.74076OpenAlexW2611478846MaRDI QIDQ724591

Matteo Cicuttin, Daniele A. Di Pietro, Alexandre Ern

Publication date: 26 July 2018

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2017.09.017

zbMATH Keywords

boundary value problemgenetic algorithmPoisson problemhybrid high-order method

Mathematics Subject Classification ID

Applications of mathematical programming (90C90) Basic methods in fluid mechanics (76M99) Numerical and other methods in solid mechanics (74S99) Numerical methods for partial differential equations, boundary value problems (65N99)

Related Items (22)

Hybrid high-order methods for finite deformations of hyperelastic materials ⋮ Hybrid discretization methods with adaptive yield surface detection for Bingham pipe flows ⋮ An Arbitrary-Order Scheme on Generic Meshes for Miscible Displacements in Porous Media ⋮ Hybrid high-order methods for the acoustic wave equation in the time domain ⋮ An Unfitted Hybrid High-Order Method for Elliptic Interface Problems ⋮ A Hybrid High-Order Method for Quasilinear Elliptic Problems of Nonmonotone Type ⋮ The Unique Continuation Problem for the Heat Equation Discretized with a High-Order Space-Time Nonconforming Method ⋮ A hybrid high‐order formulation for a Neumann problem on polytopal meshes ⋮ Hybrid high-order methods for flow simulations in extremely large discrete fracture networks ⋮ A hybrid high-order method for a class of strongly nonlinear elliptic boundary value problems ⋮ A Hybrid High-Order Discretization Combined with Nitsche's Method for Contact and Tresca Friction in Small Strain Elasticity ⋮ Spectral approximation of elliptic operators by the Hybrid High-Order method ⋮ The Unfitted HHO Method for the Stokes Problem on Curved Domains ⋮ A Hybrid High-Order Method for Flow Simulations in Discrete Fracture Networks ⋮ A hybrid high-order method for incremental associative plasticity with small deformations ⋮ A Hybridized High-Order Method for Unique Continuation Subject to the Helmholtz Equation ⋮ Assessment of hybrid high-order methods on curved meshes and comparison with discontinuous Galerkin methods ⋮ Convergence analysis of hybrid high-order methods for the wave equation ⋮ A hybrid high-order method for highly oscillatory elliptic problems ⋮ Hybrid high-order methods for the elliptic obstacle problem ⋮ Unfitted hybrid high-order methods for the wave equation ⋮ An Unfitted Hybrid High-Order Method with Cell Agglomeration for Elliptic Interface Problems

Uses Software

• FreeFem++
• DUNE
• deal.ii
• PDELab
• Feel++
• rheolef

Cites Work

• Unnamed Item
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